This paper studies a dynamic adjustment process in a large society of forward-looking agents
where payoffs are given by a normal form supermodular game.
The stationary states of the dynamics correspond to the Nash equilibria of the stage game.
It is shown that if the stage game has a monotone potential maximizer,
then the corresponding stationary state is uniquely linearly absorbing and globally accessible
for any small degree of friction.
A simple example of a unanimity game with three players is provided
where there are multiple globally accessible states for a small friction.
Journal of Economic Literature Classification Numbers: C72, C73.